| Titre : | Dynamical systems and ergodic theory |
| Auteurs : | M. Pollicott ; M. Yuri |
| Type de document : | texte imprimé |
| Editeur : | Cambridge : Cambridge University Press, 1998 |
| Collection : | London mathematical society student texts |
| ISBN/ISSN/EAN : | 978-0-521-57599-7 |
| Format : | 1 vol. (179 p.) / couv. ill. en coul. / 23 cm |
| Note générale : |
Mots cles:
Topological dynamics Ergodic theory |
| Langues originales: | |
| Index. décimale : | 515.42 (Théorie de la mesure, théorie de l'intégration) |
| Catégories : | |
| Mots-clés: | Dynamique topologique Théorie ergodique |
| Résumé : |
This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a master's level course. A number of applications are given, principally to number theory and arithmetic progressions (through van der Waerden's theorem and Szemerdi's theorem). |
| Note de contenu : |
Sommaire: • Introduction and preliminaries. • Part I. Topological Dynamics: • 1. Examples and basic properties. • 2. An application of recurrence to arithmetic progressions. • 3. Topological entropy. • 4. Interval maps. • 5. Hyperbolic toral automorphisms. • 6. Rotation numbers. • Part II. Measurable Dynamics: • 7. Invariant measures. • 8. Measure theoretic entropy. • 9. Ergodic measures. • 10. Ergodic theorems. • 11. Mixing. • 12. Statistical properties. • Part III. Supplementary Chapters: • 13. Fixed points for the annulus. • 14. Variational principle. • 15. Invariant measures for commuting transformations. • 16. An application of ergodic theory to arithmetic progressions. |
| Côte titre : |
S8/51510-51511 |
Exemplaires (2)
| Cote | Support | Localisation | Disponibilité |
|---|---|---|---|
| S8/51510 | Livre | Bibliothèque centrale | Disponible |
| S8/51511 | Livre | Bibliothèque centrale | Disponible |
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